| Title:
|
Perturbation analysis of the discrete Riccati equation (English) |
| Author:
|
Konstantinov, M. M. |
| Author:
|
Petkov, P. Hr. |
| Author:
|
Christov, N. D. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
18-29 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49N10 |
| MSC:
|
93B40 |
| MSC:
|
93C15 |
| MSC:
|
93C55 |
| idZBL:
|
Zbl 0792.93053 |
| idMR:
|
MR1227739 |
| . |
| Date available:
|
2009-09-24T18:38:06Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124552 |
| . |
| Reference:
|
[1] P. Hr. Petkov N. D. Christov, M. M. Konstantinov: Computational Methods for Linear Control Systems.Prentice Hall, New York 1991. |
| Reference:
|
[2] R. Byers: Numerical condition of the algebraic Riccati equation.Contemporary Math. 47 (1985), 35-49. Zbl 0579.65037, MR 0828291 |
| Reference:
|
[3] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Perturbation analysis of the continuous and discrete matrix Riccati equations.Proc. 1986 ACC, Seattle, vol. 1, 636-639. |
| Reference:
|
[4] M. M. Konstantinov N. D. Christov, P. Hr. Petkov: Perturbation analysis of linear control problems.Prepr. IFAC 10th World Congress, Munich 1987, vol. 9, pp. 16-21, Pergamon Press, Oxford 1987. |
| Reference:
|
[5] C. Kenney, G. Hewer: The sensitivity of the algebraic and differential Riccati equations.SIAM J. Control Optim. 28 (1990), 50-69. Zbl 0695.65025, MR 1035972 |
| Reference:
|
[6] P. Gahinet, A. Laub: Computable bounds for the sensitivity of the algebraic Riccati equation.SIAM J. Control Optim. 2<S(1990), 1461-1480. Zbl 0728.93022, MR 1075213 |
| Reference:
|
[7] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Perturbation analysis of matrix quadratic equations.SIAM J. Sci. Stat. Comput. 11 (1990), 1159-1163. MR 1068502 |
| Reference:
|
[8] E. A. Grebenikov, Yu. A. Ryabov: Constructive Methods for Analysis of Non-Linear Systems.(in Russian). Nauka, Moscow 1979. MR 0571543 |
| Reference:
|
[9] P. Gahinet A. Laub, Ch. Kenney, G. Hewer: Sensitivity of the stable discrete-time Lyapunov equation.IEEE Trans. Automat. Control 35 (1990), 1209-1217. MR 1074888 |
| Reference:
|
[10] A. P. Sage, C. C. White: Optimum Systems Control.Prentice Hall, Englewood Cliffs, N.J. 1977. Zbl 0388.49002 |
| Reference:
|
[11] L. V. Kantorovich, G. P. Akilov: Functional Analysis in Normed Spaces.(in Russian). Nauka, Moscow 1977. MR 0511615 |
| Reference:
|
[12] T. Pappas A.J. Laub, N. R. Sandell: On the numerical solution of the discrete-time algebraic Riccati equation.IEEE Trans. Automat. Control AC-25 (1980), 631-641. MR 0583440 |
| . |
